Date:Wednesday, March 11th, 2020
Commit:79312c80 on better-rr
Hostname:warfa with Racket 7.5
Seed:2020071
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:better-rrreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample1.1m (65.6%)

Algorithm
21×intervals
Results
37.3s38632×body10240exit
7.0s7338×body1280valid
5.3s3382×body2560valid
3.3s56466×body80valid
2.5s49775×body80nan
2.1s4687×body640valid
1.5s2995×body1280nan
709.0ms2586×body640nan
608.0ms2459×body320valid
220.0ms1311×body320nan
213.0ms1196×body160valid
113.0ms8356×pre80true
81.0ms711×body160nan
52.0ms31×body5120valid
19.0ms29×body2560nan
19.0msbody5120nan

series29.0s (29.0%)

Calls

60 calls:

5.8s
(sqrt (* U (* (* 2.0 n) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
5.8s
(sqrt (* U (* (* 2.0 n) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

simplify2.0s (2.0%)

Algorithm
39×egg-herbie

prune1.7s (1.7%)

Filtered
469 candidates to 282 candidates (60.1%)

regimes943.0ms (0.9%)

Accuracy

Total 11.0b remaining (5.1%)

Threshold costs 0.6b (0.3%)

10.4b28.2%Toniolo and Linder, Equation (13)
0.5b0%Random Jason Timeout Test 006
0.1b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 012

localize309.0ms (0.3%)

bsearch244.0ms (0.2%)

rewrite221.0ms (0.2%)

Algorithm
21×rewrite-expression-head
Calls

60 calls:

12.0ms
(sqrt (* U (* (* 2.0 n) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))))
12.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
12.0ms
(sqrt (* U (* (* 2.0 n) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
10.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
10.0ms
(* U (* (* 2.0 n) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
Rules
118×associate-*r/
52×flip-- flip3--
46×distribute-rgt-in distribute-lft-in
42×associate-*l*
38×frac-sub
37×sub-neg
35×*-commutative
28×associate-*r*
24×sqrt-div sqrt-prod associate--l+
15×div-inv
11×sqr-pow
expm1-udef pow1/2
unpow-prod-down
sin-diff clear-num frac-2neg
associate-/l/ associate-/r/ fma-neg unpow-prod-up div-sub pow-to-exp acos-asin pow-sub associate--r-
associate--r+
associate-/l* pow-unpow sqrt-pow2 flip3-+ flip-+ pow-pow asin-acos
expm1-def cosh-def fma-udef

end0.0ms (0.0%)